Weak Morse properties in spaces with bounded combings
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866913762586394624 |
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| author | Drutu, Cornelia Spriano, Davide Zbinden, Stefanie |
| author_facet | Drutu, Cornelia Spriano, Davide Zbinden, Stefanie |
| contents | We relate two notions of non-positive curvature: bounded combings and the Morse local-to-global (MLTG) property (in its weak and strong version). The latter is a property of a space that has been shown to eliminate pathological behavior of Morse geodesics. We showcase its importance in a survey in the appendix. We show that having a bounded combing implies the weak MLTG property. If the Morse boundary of a group is sigma-compact, we show that the weak MLTG property is upgraded to the (strong) MLTG property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_21325 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weak Morse properties in spaces with bounded combings Drutu, Cornelia Spriano, Davide Zbinden, Stefanie Group Theory Metric Geometry 20F65, 20F67, 20F69 We relate two notions of non-positive curvature: bounded combings and the Morse local-to-global (MLTG) property (in its weak and strong version). The latter is a property of a space that has been shown to eliminate pathological behavior of Morse geodesics. We showcase its importance in a survey in the appendix. We show that having a bounded combing implies the weak MLTG property. If the Morse boundary of a group is sigma-compact, we show that the weak MLTG property is upgraded to the (strong) MLTG property. |
| title | Weak Morse properties in spaces with bounded combings |
| topic | Group Theory Metric Geometry 20F65, 20F67, 20F69 |
| url | https://arxiv.org/abs/2503.21325 |